Atkin-Lehner |
2+ 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570n |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-308582250372000000 = -1 · 28 · 36 · 56 · 113 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,160596,-10074672] |
[a1,a2,a3,a4,a6] |
Generators |
[712:21204:1] |
Generators of the group modulo torsion |
j |
628345970980160831/423295268000000 |
j-invariant |
L |
5.277289172768 |
L(r)(E,1)/r! |
Ω |
0.17391362433499 |
Real period |
R |
2.528692616303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4730e2 |
Quadratic twists by: -3 |